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Finding the Fourth Proportional to 379.41, 569.06 and 105.50

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Solution

The fourth proportional to 379.41, 569.06 and 105.50 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 569.06 = 105.50 : x
  2. Step 2: Convert to fraction form
    379.41/569.06 = 105.50/x
  3. Step 3: Cross multiply
    379.41x = 569.06 × 105.50
  4. Step 4: Simplify right side
    379.41x = 60,032.46
  5. Step 5: Solve for x
    x = 60,032.46/379.41
  6. Step 6: Final answer
    x = 158.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.